document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140516>Question 140516</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I find the rational zeros of this equation? <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E3%2B8x%5E2-3x-8 ALIGN=MIDDLE  ALT=\"3x%5E3%2B8x%5E2-3x-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102300 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=102300\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do I find the rational zeros of this equation? <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E3%2B8x%5E2-3x-8 ALIGN=MIDDLE  ALT=\"3x%5E3%2B8x%5E2-3x-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Since the coefficients add up to zero, x=1 is a root of the statement:<BR>\n" );
document.write( "Use synthetic division to find the quotient.<BR>\n" );
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document.write( "1)....3....8....-3....-8<BR>\n" );
document.write( ".......3....11....8..|..0\r<BR>\n" );
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document.write( "Quotient: x^2 + 11x + 8<BR>\n" );
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document.write( "Use the quadratic formula to find the remaining zeroes:<BR>\n" );
document.write( "x = [-11 +- sqrt(121 -4*1*8)]/2\r<BR>\n" );
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document.write( "x = [-11 +- sqrt(89)]/2\r<BR>\n" );
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document.write( "x = [-11+sqrt(89)]/2 or x = [-11-sqrt(89)]/2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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